International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 19, Pages 17042, 14 p.
doi:10.1155/IJMMS/2006/17042
Uniform limit power-type function spaces
Chuanyi Zhang
and Weiguo Liu
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Abstract
To answer a question proposed by Mari in 1996, we propose 𝒰ℒ𝒫α(ℝ+), the space of uniform limit power functions. We show that 𝒰ℒ𝒫α(ℝ+) has properties similar to that of 𝒜𝒫(ℝ+). We also proposed three other limit power function spaces.